广西师范大学学报（自然科学版） ›› 2012, Vol. 30 ›› Issue (1): 10-14.

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超混沌Liu系统的自适应广义投影同步与参数识别

陈彦飞1, 贾贞1,2, 邓奇湘1, 谢梦舒1, 于晓玲1   

  1. 1.桂林理工大学理学院,广西桂林541004;
    2.广西空间信息与测绘重点实验室,广西桂林541004
  • 收稿日期:2011-11-10 出版日期:2012-01-20 发布日期:2018-12-03
  • 通讯作者: 贾贞(1965—),女,湖北武汉人,桂林理工大学教授。E-mail:jjjzzz0@163.com
  • 基金资助:
    国家自然科学基金资助项目(61164020);广西自然科学基金资助项目(2011GXNSFA018147);广西空间信息与测绘重点实验室资助项目(桂科能1103108-24)

Adaptive Generalized Projective Synchronization for HyperchaoticLiu System and Parameters Identification

CHEN Yan-fei1, JIA Zhen1,2, DENG Qi-xiang1, XIE Meng-shu1, YU Xiao-ling1   

  1. 1.College of Science,Guilin University of Technology,Guilin Guangxi 541004,China;
    2.Guangxi Key Laboratory of Spatial Information and Geomatics,Guilin Guangxi 541004,China
  • Received:2011-11-10 Online:2012-01-20 Published:2018-12-03

摘要： 本文研究超混沌Liu系统的自适应广义投影同步与参数识别问题。基于自适应反馈控制技术,在响应系统参数未知的情况下设计了非线性控制器和参数自适应律,使2个参数不匹配的超混沌Liu系统在全局范围内实现广义投影同步,可用控制增益来调整同步的速度,同时实现对未知参数的识别。应用Lyapunov稳定性理论和LaSalle不变集原理从理论上证明了结论,并通过数值仿真验证所给方法的有效性。

关键词: 超混沌Liu系统, 反馈控制, 广义投影同步, 参数识别

Abstract: The adaptive generalized projective synchronization for hyperchaotic Liu system and parameters identification are studied.Based on adaptive feedback control technique,the nonlinear controller and parameter adaptive laws are designed under the situation of response system with unknown parameters to realize global generalized projective synchronization of two hyperchaoticLiu systems with unmatched parameters,the control gain is given to adjust synchronous speed.Furthermore,the identification of unknown parameters is realized simultaneously.The conclusion is proved by Lyapunov stability theory and LaSalle'sinvariance principle.Numerical simulations are given to demonstrate the effectiveness of the proposed method.

Key words: hyperchaotic Liu system, feedback control, generalizedprojective synchronization, parameters identification

中图分类号: 

  • O415.5
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